图书简介
This volume contains pedagogical, review and research level papers on fractional stochastic and quantum processes which have been the focus of intensive mathematical, experimental, and computational studies due to their widening spectrum of applications in natural and social sciences. Novel vis-à-vis standard approaches in fractional stochastic analysis are presented together with experimental and theoretical highlights in applications to single particle tracking, organic semiconductors, polymer structure, complex systems, and finance, among others.
Key Features:
○ The volume has a good mix of review, pedagogical and research level discussions that are accessible to both graduate students and active researchers in stochastic fractional processes
○ Mathematical and theoretical presentations are balanced with real-world examples and experimentation
○ The volume discusses stochastic processes with memory beyond the well-studied fractional Brownian motion
Mathematical Overview: Some Fractional and Multifractional Gaussian Processes: A Brief Introduction (S C Lim and C H Eab) Fractional Brownian Motion in a Nutshell (G Shevchenko) Local Times for Grey Brownian Motion (J L da Silva) Adapted Integral Representations of Random Variables (G Shevchenko and L Viitasaari) A White Noise Analysis of Volterra Processes (H P Suryawan) Stochastic Path Summation with Memory (C C Bernido and M V Carpio-Bernido) Particle Tracking and Nanotechnology: Weak Ergodicity Breaking and Ageing in Anomalous Diffusion (R Metzler) Fractional Dispersive Transport in Inhomogeneous Organic Semiconductors (K Y Choo and S V Muniandy) Bier-Astumian Relation, Fluctuation Theorem and Their Possible Applications (M N P Confesor) Robust Method of Trapping Self-Propelling Particles (R J L Lacubtan and M N P Confesor) Complex Social Systems: Mechanism-Based Model of a Mass Rapid Transit System: A perspective (E F Legara, L K Khoon, H G Guang and C Monterola) Critical Slowing Down in a Dynamic Duopoly (M G O Escobido and N Hatano) Measuring Efficiency of International Crude Oil Markets: A Multifractality Approach (H M Niere) Fractional Quantum Mechanics: Space-Fractional Schrödinger Equation for a Quadrupolar Triple Dirac-δ Potential: Central Dirac-δ Well and Barrier Cases (J D Tare and J P H Esguerra) Lévy Path Integral Approach to the Fractional Schrödinger Equation with Delta-Perturbed Infinite Square Well (M M I Nayga and J P H Esguerra) Macromolecules and Cells: Fractional Brownian Motion and Polymers: Learning from Each Other (J Bornales and L Streit) Fractional Brownian Modeled Linear Polymer Chains with One Dimensional Metropolis Monte Carlo Simulation (J P B Sambo, B V Gemao and J B Bornales) On the Diffusion of Alpha-Helical Proteins in Solvents (W I Barredo, J B Bornales, C C Bernido and H P Aringa)
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